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hardness

hardness

5.3
How difficult something is to do or understand
  • noun
  • /ˈhɑrdnəs/
translation icon : dificultad
  • The teacher explained that the hardness of the problem required extra practice and focus to solve effectively.

And Shor's algorithm is one that kind of completely breaks the hardness of some specific kinds of mathematical problems.

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Examples

  • "They can help kids prepare themselves for the hardness of life.

  • Sometimes other mothers' eagle eyes caught the children at their play, and Lapa had to defend her daughter, saying, "Let them learn a little of the hardness of the world; they'll have to learn it soon enough."

    Fiction book (1995)
  • And that's the hardness of this kind of problems.

  • The hardness of life, the rough fabric of it, pushed me onto this path, and yet sustenance appears, woven in with this red-orange ache.

    Blog text (26)
  • What we now suffer in economics is a hardness of intellect, a meanness of spirit, a narrowness of vision, and a rigidity of thinking that utterly distorts the role of what economics in our society should be.

    Blog text (34)
  • Many students struggle with the hardness of advanced mathematics, finding it challenging to grasp complex concepts.

  • Facing the hardness of difficult situations can build resilience and teach valuable life lessons.

Synonyms

difficulty
vshardness
651 2.4

A hard part of a task that needs extra effort or is not easy to understand

is the wider concept that includes doing, understanding, and solving problems
complexity
vshardness
166 5.0

Many connected parts make something hard to understand

is the broader sense of difficulty, not only caused by many parts
toughness
vshardness
14 3.5

A situation or task that is hard to deal with

is the wider quality of being difficult beyond resistance, including understanding and solving
elusiveness
vshardness
3 7.4

Hard to find or understand

is the broader sense of being difficult, not only about finding or catching
trickiness
vshardness
1 5.4

Being difficult to deal with and needing skill or care

is the broader difficulty concept without implying required special skill or caution
difficultness
vshardness
7.0

How hard something is to do, deal with, or understand

is the broader general quality covering many kinds of effortful problems
knottiness
vshardness
9.4

A quality that makes something hard to understand or solve

is the broader quality of being difficult without insisting on extreme intricacy
abstrusity
vshardness
  • Formal
9.9

The quality of being very difficult to understand because it is complex

is the general difficulty quality, not limited to deep or obscure subjects
impenetrability
vshardness
9.9

Very hard to understand because the ideas are unclear or complicated

is the general quality of being difficult rather than practically impossible
ruggedness
vshardness
6.8

Being difficult and needing a lot of effort or skill

is the general notion of difficulty, not focused on demanding physical tasks
intractableness
vshardness
9.9

The quality of being very difficult to manage or control

is the general quality of difficulty, not limited to problems of control

Antonyms

304 1.0

A state of comfort and freedom from worry

63 1.7

Being easy to understand and not complicated

How Difficult

impossibility
37 5.3
hardness
5.3
difficulty
651 2.4
ease
304 1.0

Surface Forms

hardness singular
hardnesses plural

Morphology

hardness = hard (transparent) = hard + ness

The suffix '-ness' indicates a state or quality, and the meaning related to difficulty is a direct extension of 'hard'.

Etymology

The word hardness comes from hard meaning 'difficult' and the ending -ness meaning 'state'. So hardness simply describes how 'difficult' a task or problem is.